General linear methods for integrated circuit design [Elektronische Ressource] / von Steffen Voigtmann

General Linear Methodsfor Integrated Circuit DesignDISSERTATIONzur Erlangung des akademischen Gradesdoctor rerum naturalium(Dr. rer. nat.)im Fach Mathematikeingereicht an derMathematisch-Naturwissenschaftlichen Fakultat¨ IIHumboldt-Universit¨at zu BerlinvonHerr Dipl.-Math. Steffen Voigtmanngeboren am 12.07.1976 in BerlinPr¨asident der Humboldt-Universit¨at zu Berlin:Prof. Dr. Christoph MarkschiesDekan der Mathematisch-Naturwissenschaftlichen Fakult¨at II:Prof. Dr. Uwe Kuc¨ hlerGutachter:(a) Prof. Dr. John Butcher(b) Prof. Dr. Roswitha Ma¨rz(c) Prof. Dr. Caren Tischendorfeingereicht am: 30. Januar 2006Tag der mundlic¨ hen Prufung:¨ 26. Juni 2006PrefaceToday electronic devices play an important part in everybody’s life. In par-ticular, there is an ongoing trend towards using mobile devices such as cellphones, laptops or PDAs. Integrated circuits for these kind of applicationsare mainly produced in CMOS technology (complementary metal-oxide semi-conductor). CMOS circuits use almost no power when they are not active andthus, combiningnegativelyandpositivelychargedtransistors, theydrawpoweronly when switching polarity. Furthermore, advanced CMOS technology is ex-pected to dominate in the future since it allows to manufacture transistors inthe nanoscale regime.Circuit simulation is one of the key technologies enabling a further increasein performance and memory density.